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BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data

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arxiv 2401.12288 v3 pith:CNIVIL4S submitted 2024-01-22 hep-th

classification hep-th
keywords wilsonabjmloopsdatadefectfermifunctionshigher
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the expectation values of BPS Wilson loops in the mass-deformed ABJM theory using the Fermi gas technique. We obtain explicit results in terms of Airy functions, effectively resumming the full 1/N expansion up to exponentially small terms. In the maximal supersymmetric case, these expressions enable us to derive multi-point correlation functions for topological operators belonging to the stress tensor multiplet, in the presence of a 1/2--BPS Wilson line. From the one-point correlator, we recover the ABJM Bremsstrahlung function, confirming nicely previous results obtained through latitude Wilson loops. Likewise, higher point correlators can be used to extract iteratively new defect CFT data for higher dimensional topological operators. We present a detailed example of the dimension-two operator appearing in the OPE of two stress tensor multiplets.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-planar corrections to ABJM Bremsstrahlung function from quantum M2 brane

    hep-th 2025-01 conditional novelty 7.0 of 10

    The one-loop M2 brane partition function in AdS4 x S7/Z_k reproduces B_1 = -(1/(2π k)) cot(2π/k), the localization value for the ABJM Bremsstrahlung function.

  2. An Airy Tale at Large $N$

    hep-th 2025-02 conditional novelty 6.0 of 10

    The paper presents numerical and analytic evidence that the large-N sphere partition function of five classes of M2-brane SCFTs, with squashing and real masses, takes the form of an Airy function to all orders in 1/N.

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